期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2013
卷号：X
页码：253-270
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：We study a one-dimensional random walk among random conductances,with unbounded jumps. Assuming the ergodicity of the collection of conductancesand a few other technical conditions (uniform ellipticity and polynomial boundson the tails of the jumps) we prove a quenched conditional invariance principle forthe random walk, under the condition that it remains positive until time n. Asa corollary of this result, we study the effect of conditioning the random walk toexceed level n before returning to 0 as n → ∞.
